Search a number
-
+
113722499072 = 2137213193137
BaseRepresentation
bin110100111101001100…
…0111010000000000000
3101212112111221112010002
41221322120322000000
53330400424432242
6124124323455132
711134102202300
oct1517230720000
9355474845102
10113722499072
1144258427826
121a0595274a8
13a95479a590
14570b73d600
152e58d05432
hex1a7a63a000

113722499072 has 672 divisors, whose sum is σ = 317950778880. Its totient is φ = 40131624960.

The previous prime is 113722499071. The next prime is 113722499161. The reversal of 113722499072 is 270994227311.

It is a super-2 number, since 2×1137224990722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113722499071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073581038 + ... + 3073581074.

It is an arithmetic number, because the mean of its divisors is an integer number (473141040).

Almost surely, 2113722499072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113722499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158975389440).

113722499072 is an abundant number, since it is smaller than the sum of its proper divisors (204228279808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113722499072 is a wasteful number, since it uses less digits than its factorization.

113722499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 113722499072 in words is "one hundred thirteen billion, seven hundred twenty-two million, four hundred ninety-nine thousand, seventy-two".